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math.GT2025
On Quantum Modularity for Geometric 3-Manifolds
Pavel Putrov, Ayush Singh
The quantum modularity conjecture, first introduced by Don Zagier, is a general statement about a relation between quantum invariants of links and 3-manifolds at…
math.GT2023
Graph Neural Networks and 3-Dimensional Topology
Pavel Putrov, Song Jin Ri
We test the efficiency of applying Geometric Deep Learning to the problems in low-dimensional topology in a certain simple setting. Specifically, we consider the class of 3-manifol…
math.GT2021
Non-Semisimple TQFT's and BPS -Series
Francesco Costantino, Sergei Gukov, Pavel Putrov
We propose and in some cases prove a precise relation between 3-manifold invariants associated with quantum groups at roots of unity and at generic . Both types of invariants ar…